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Finding the Fourth Proportional to 192,316.68, 287,970.30 and 135,851.40

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Solution

The fourth proportional to 192,316.68, 287,970.30 and 135,851.40 is: 203,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,316.68 : 287,970.30 = 135,851.40 : x
  2. Step 2: Convert to fraction form
    192,316.68/287,970.30 = 135,851.40/x
  3. Step 3: Cross multiply
    192,316.68x = 287,970.30 × 135,851.40
  4. Step 4: Simplify right side
    192,316.68x = 39,121,168,413.42
  5. Step 5: Solve for x
    x = 39,121,168,413.42/192,316.68
  6. Step 6: Final answer
    x = 203,420.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.